Question

Four horses are tied on the four corners of a square field of 14 m length so that each horse can touch the
other two horses. They were able to graze in the area accessible to them for 11 days. For how many days
is the ungrazed area sufficient for them?
(1) 3 days
(2) 4 days
(3) 5 days
(4) 2 days
​

Answer 1

In three day it will be 4×14×3 = 159m

Answer 2

for 3 Days

as each horse is able to touch each other, the length of rope = 7 m

each horse is able to gaze a area = a sector of area 7 m and angle 90°

so,4 Horses will be able to gaze the area = area of a circle of radius 7 m and ( as 4 sector of sector of 90° each combines to form a circle of radius 7 m)

hence, area of circle = 7 ×7× 22/7 = 154 m^2

area of square = 14×14 = 196 m^2

remaining area to graze = 196 - 154=42m^2

154 sq.m area can be grazed by horses in 11 days

thus, 42sq.m area can be grazed by horses in 3 days.